What is the Greatest Common Factor of 80941 and 80955?

Greatest common factor (GCF) of 80941 and 80955 is 7.

GCF(80941,80955) = 7

We will now calculate the prime factors of 80941 and 80955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80941 and 80955.

How to find the GCF of 80941 and 80955?

We will first find the prime factorization of 80941 and 80955. After we will calculate the factors of 80941 and 80955 and find the biggest common factor number .

Step-1: Prime Factorization of 80941

Prime factors of 80941 are 7, 31, 373. Prime factorization of 80941 in exponential form is:

80941 = 7¹ × 31¹ × 373¹

Step-2: Prime Factorization of 80955

Prime factors of 80955 are 3, 5, 7, 257. Prime factorization of 80955 in exponential form is:

80955 = 3² × 5¹ × 7¹ × 257¹

Step-3: Factors of 80941

List of positive integer factors of 80941 that divides 80941 without a remainder.

1, 7, 31, 217, 373, 2611, 11563

Step-4: Factors of 80955

List of positive integer factors of 80955 that divides 80941 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 257, 315, 771, 1285, 1799, 2313, 3855, 5397, 8995, 11565, 16191, 26985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80941 and 80955. The biggest common factor number is the GCF number.
So the greatest common factor 80941 and 80955 is 7.

Also check out the Least Common Multiple of 80941 and 80955